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Finding the Fourth Proportional to 252,509.26, 378,822.22 and 75,012.34

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Solution

The fourth proportional to 252,509.26, 378,822.22 and 75,012.34 is: 112,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,509.26 : 378,822.22 = 75,012.34 : x
  2. Step 2: Convert to fraction form
    252,509.26/378,822.22 = 75,012.34/x
  3. Step 3: Cross multiply
    252,509.26x = 378,822.22 × 75,012.34
  4. Step 4: Simplify right side
    252,509.26x = 28,416,341,166.19
  5. Step 5: Solve for x
    x = 28,416,341,166.19/252,509.26
  6. Step 6: Final answer
    x = 112,535.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.